Subject
Simulation, optimization, forecasting, network analysis, and computational modeling.
An arXiv preprint presents a Green-function-based resonant-state expansion for calculating material perturbations in open acoustic resonators. In a two-dimensional cylindrical model, it reports excellent agreement with exact analytical and finite-element results.
Scientific publication3 min read
A computational preprint tests a resonant-state expansion for acoustic scattering in open resonators. The calculations agree with analytical and numerical reference models while exposing how different resonant states contribute to scattering features.
Scientific publication4 min read
A five-case computational study tested a high-order virtual element framework for variable-stiffness plates with complex shapes. VC-VEM variants and standard self-stabilized VEM maintained good accuracy when fiber orientation varied, while standard stabilized VEM lost accuracy as approximation order increased and produced incorrect buckling loads or mode shapes in some distorted-mesh cases.
Scientific publication5 min read
The framework keeps weighted polynomial norms within explicit bounds that tighten with refinement. In numerical illustrations, canonical reconstruction produced much smaller errors than one-pass synthesis, although broader comparisons remain unresolved.
Scientific publication4 min read
An arXiv review examines how linear systems can learn unknown parameters while operating, and why gathering information can carry a short-term performance cost.
Scientific publication3 min read
The study separates filtered spectral-tail improvement from aliasing and identifies conditional recovery and saturation branches for exact and inexact sampling.
Scientific publication3 min read
The paper follows controllability from the Kalman-family rank condition to bracket generation on finite-dimensional Lie groups. Examples in SO(3), SO(4) and SO(7) illustrate how local directions propagate, while the paper marks infinite-dimensional vector-field algebras as the point where the analogy breaks down.
Scientific publication4 min read
A preprint compares an implicit BDF2 dual-time-stepping method with SSPRK3 in a hypersonic cylinder and a Mach 10 Taylor–Green vortex simulation, reporting similar numerical behavior and a 27% wall-clock reduction in the vortex efficiency test.
Scientific publication3 min read
The preprint turns a worst-case safety question into an optimization over possible starting distributions. Its examples show that the resulting upper bounds depend on relaxation level, unsafe-region choice and moment uncertainty, and may remain loose when the model is approximated.
Scientific publication3 min read
A mathematical study of a stochastic surface-growth equation found numerical signs that rougher noise is associated with a fading contribution from the model’s nonlinear current, but the result appeared only at higher tested roughness settings.
Scientific publication3 min read
A new arXiv preprint models how hard limits on terminal losses change portfolio exposure. Its simulations found selective reductions in risky positions, but the study does not test human investors or real markets.
Scientific publication3 min read
A preprint comparing direct and indirect stability certification reports that the indirect approach used fewer samples, ran substantially faster and remained informative when a simulated dataset included outliers. The evidence is theoretical and benchmark-based, so it does not establish universal superiority.
Scientific publication6 min read
A version 1 arXiv preprint develops a variational framework for studying how optimal values change as parameters move in a chosen direction. The results extend several tools for infinite-dimensional analysis but remain conditional on compactness, differentiability and regularity assumptions.
Scientific publication6 min read
An arXiv preprint reports that DOCG-AS produced larger gains in a model’s predicted diffusion score than Designed2Spread on Movie- and SpaceX-focused Twitter/X data. A small Movie-focused preference study also favored the generated versions, but the work did not measure actual reposting or establish causal effects in human audiences.
Scientific publication3 min read
A new computational method for hybrid plasma equations retained low numerical rank while preserving key conservation diagnostics in benchmark tests. The findings are limited to the model geometry, collision treatment and numerical settings reported in the preprint.
Scientific publication5 min read
A new arXiv preprint reports that an adaptive time-window method produced closely matching optimization results while reducing reported runtime and storage in the tested computational flow cases. The study also recovered cylinder-like wake structures and reduced pressure-drop objectives in U-bend cases, but did not test physical prototypes or three-dimensional turbulent flows.
Scientific publication4 min read
An arXiv methods preprint reports overall cycle speedups of 7×–45× for SGCT-PIC and 3×–11× for HSG-PIC, with standard and hierarchical implementations agreeing up to roundoff in the reported simulations.
Scientific publication4 min read
An arXiv preprint describes a mathematical method for estimating three-dimensional obstacle shapes from time-dependent sound-wave reflections. Tests on a tilted peanut and a sea-star model found that direction count mattered, while the sea-star reconstruction was reported as satisfactory in noise tests up to 30%.
Scientific publication3 min read
A new arXiv preprint describes a fabrication and optimization framework for thick, non-manifold origami metamaterials. The work combines hinged modules, mechanical fasteners and graph-based topology optimization, then tests the designs in small and large physical prototypes. The demonstrations show feasibility, but they do not establish maximum capacity, durability or superiority over other ways.
Scientific publication5 min read